2023 - T2 - WS3 - Dg-manifolds in geometry and physics

Collection 2023 - T2 - WS3 - Dg-manifolds in geometry and physics

Organizer(s) Hélein, Frédéric ; Ginot, Grégory ; Laurent-Gengoux, Camille

Date(s) 03/07/2023 - 07/07/2023

linked URL https://indico.math.cnrs.fr/event/7885/

00:00:00 / 00:00:00

9 21

Reduction of Courant algebroids via graded manifolds

By Marco Zambon

Courant algebroids are certain objects in Lie theory that are used to define, for instance, Dirac structures and generalized complex structures.

We will use the correspondence between degree 2 symplectic manifolds and Courant algebroids, due to Roytenberg, to approach the reduction of Courant algebroids using graded geometry. For this purpose we will consider both graded coisotropic submanifolds and a graded version of moment maps. The resulting reduction procedure, in a particular case, recovers the work of Bursztyn-Cavalcanti-Gualtieri around 2007. This talk is based on joint work with Bursztyn, Cattaneo and Metha.

Information about the video

Date of recording 04/07/2023
Date of publication 06/07/2023
Institution IHP
Licence CC BY-NC-ND
Language English
Audience Researchers
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2023.T2.WS3.009
Cite this video Zambon, Marco (04/07/2023). Reduction of Courant algebroids via graded manifolds. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T2.WS3.009
URL https://dx.doi.org/10.57987/IHP.2023.T2.WS3.009

Domain(s)

Symplectic Geometry

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